diketahui f(x)=3x-2 dan (gof)(x)=9x²-12x+7, maka tentukan g(x)! jawab: (gof)(x)=g(f(x)) .... =.... misal y=.... ---> x=.... sehingga: g(y)=.... =.... jadi g

(gof)(x) = g(f(x))
g(3x - 2) = 9x² -12x +7
g(3x) = 9(x + 2)² - 12(x +2) + 7
g(x) = [tex]9( \frac{x+2}{3})^{2} - 12( \frac{x+2}{3}) + 7 \\ g(x) = 9( \frac{x^{2} + 4x + 4}{9}) - 12( \frac{x+2}{3}) + 7 \\ g(x) = x^{2} + 4x + 4 - 4x - 8 + 7 \\ g(x) = x^{2} + 3[/tex]